GCD of 771, 978, 384, 318 Calculator

Given Input numbers are 771, 978, 384, 318

In the factoring method, we have to find the divisors of all numbers

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (771, 978, 384, 318) = 3.

Given numbers are 771, 978, 384, 318

The list of prime factors of all numbers are

Prime factors of 771 are 3 x 257

Prime factors of 978 are 2 x 3 x 163

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 771, 978, 384, 318 is 3.

Given numbers are 771, 978, 384, 318

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(771, 978) = 251346

GCD(771, 978) = ( 771 x 978 ) / 251346

= 771 / 978

= 771

Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

Step3:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

So, Greatest Common Divisor of 771, 978, 384, 318 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 330, 890, 265
• GCD of 596, 179, 421, 441
• GCD of 853, 860, 492, 388
• GCD of 215, 617, 368, 708
• GCD of 617, 480, 982, 481

Given numbers are 771, 978, 384, 318
The greatest common divisor of numbers 771, 978, 384, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 978, 384, 318 is 3.

1. What is the GCD of 771, 978, 384, 318?

GCD of given numbers 771, 978, 384, 318 is 3

2. How to calculate the greatest common divisor of 771, 978, 384, 318?

We can find the highest common divisor of 771, 978, 384, 318 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 771, 978, 384, 318 i.e 3.

3. How can I use the GCD of 771, 978, 384, 318Calculator?

Out the numbers 771, 978, 384, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.